Geometry 8-5a GeoGebra Primer: The Law of Sines

Last updated almost 4 years ago

9 questions

Geometry 8-5a GeoGebra Primer: The Law of Sines

Last updated almost 4 years ago

9 questions

Familiarize yourself with the embedded GeoGebra applet before completing the items that follow. 
Be sure to drag the vertices around and try the tool on a variety of triangles.

Exploration: How are the numerators and denominators related to one another in these ratios? Hint: Consider the triangle.

Exploration: Classify each of the elements from the applet.

a
b
c
CAB
ABC
BCA
Sin(CAB)
Sin(ABC)
Sin(BCA)

Trigonometric ratio
Side length
Angle

Exploration: The applet's slider has 4 positions. What happens when the slider is moved from its starting position to position 2 (one spot to the right)?

Exploration: What happens when the slider is moved from position 2 to position 3?

Exploration: What happens when the slider is moved from position 3 to position 4?

Extension: Make a conjecture based on what you observed in this applet about the relationship between angles of a triangle and the side lengths opposite from them.

Geometry 8-5a GeoGebra Primer: The Law of Sines

Geometry 8-5a GeoGebra Primer: The Law of Sines

Exploration: How are the numerators and denominators related to one another in these ratios? Hint: Consider the triangle.

Exploration: Classify each of the elements from the applet.

Exploration: The applet's slider has 4 positions. What happens when the slider is moved from its starting position to position 2 (one spot to the right)?

Exploration: What happens when the slider is moved from position 2 to position 3?

Exploration: What happens when the slider is moved from position 3 to position 4?

Extension: Make a conjecture based on what you observed in this applet about the relationship between angles of a triangle and the side lengths opposite from them.

Review: To what type(s) of triangles do the properties of SOH-CAH-TOA apply? Select all that apply.

Extension: To what type(s) of triangles do the properites of this exploration apply? Select all that apply.

Vocabulary: What is found in the top-left corner of the applet?

Exploration: How are the numerators and denominators related to one another in these ratios? Hint: Consider the triangle.

Exploration: Classify each of the elements from the applet.

Exploration: The applet's slider has 4 positions. What happens when the slider is moved from its starting position to position 2 (one spot to the right)?

Exploration: What happens when the slider is moved from position 2 to position 3?

Exploration: What happens when the slider is moved from position 3 to position 4?

Extension: Make a conjecture based on what you observed in this applet about the relationship between angles of a triangle and the side lengths opposite from them.

Review: To what type(s) of triangles do the properties of SOH-CAH-TOA apply? Select all that apply.

Extension: To what type(s) of triangles do the properites of this exploration apply? Select all that apply.

Vocabulary: What is found in the top-left corner of the applet?